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Finding the Fourth Proportional to 1,461.80, 2,193.50 and 692.28

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Solution

The fourth proportional to 1,461.80, 2,193.50 and 692.28 is: 1,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.80 : 2,193.50 = 692.28 : x
  2. Step 2: Convert to fraction form
    1,461.80/2,193.50 = 692.28/x
  3. Step 3: Cross multiply
    1,461.80x = 2,193.50 × 692.28
  4. Step 4: Simplify right side
    1,461.80x = 1,518,516.18
  5. Step 5: Solve for x
    x = 1,518,516.18/1,461.80
  6. Step 6: Final answer
    x = 1,038.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.